Finding the Third Proportional to 252,284.50 and 420,457.75
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Solution
The third proportional to 252,284.50 and 420,457.75 is: 700,735.56
Step by Step Solution
- Step 1: Write the proportion equation
252,284.50 : 420,457.75 = 420,457.75 : x - Step 2: Convert to fraction form
252,284.50/420,457.75 = 420,457.75/x - Step 3: Cross multiply
252,284.50x = 420,457.75 × 420,457.75 - Step 4: Simplify right side
252,284.50x = 176,784,719,535.06 - Step 5: Solve for x
x = 176,784,719,535.06/252,284.50 - Step 6: Final answer
x = 700,735.56
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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.